Question

PLEASE HELP QUICKLY!!!! What is the equation of the line with a slope of -3/4 that goes through the point (−6, 3)?

Answer 1

`y=-(3)/(4)x-(3)/(2)`

or

`y=-0.75x-1.5`

Explanation:

step 1

Find the equation of the line in point slope form

`y-y1=m(x-x1)`

we have

`m=-(3)/(4) \\point\ (-6,3)`

substitute

`y-3=-(3)/(4)(x+6)`

step 2

Convert to slope intercept form

`y=mx+b`

we have

`y-3=-(3)/(4)(x+6)`

Isolate the variable y

`y-3=-(3)/(4)x-(9)/(2)`

`y=-(3)/(4)x-(9)/(2)+3`

`y=-(3)/(4)x-(3)/(2)`